# the marks obtained by 110 students in an examination are given below marks 30-35 35-40 40-45 45-50 50-55 55-60 60-65 number of students 14 16 28 23 18 8 3 find the mean marks of the students.

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## The marks obtained by 110 students in an examination are given below : Marks: 30

The marks obtained by 110 students in an examination are given below : Marks: 30-35 35-40 40-45 45-50 50-55 55-60 60-65 Number of Students: 14 16 28 23 18 8 3 Find the mean marks of the students.

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The marks obtained by 110 students in an examination are given below : Marks: 30-35

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The marks obtained by 110 students in an examination are given below :

Marks: 30-35 35-40 40-45 45-50 50-55 55-60 60-65

Number of Students: 14 16 28 23 18 8 3

Find the mean marks of the students.

xi 32.5 37.5 42.5 47.5 52.5 57.5 62.5

fi 14 16 28 23 18 8 3

ui -3 -2 -1 0 1 2 3

fiui -48 -32 -28 0 18 16 9

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## The marks obtained by 110 students in an examination are given below:[ Marks: 30 35 35 40 40 45 45 50 50 55 55 60 60 65 ]Frequency: 14 [ 16 28 23 18 8 3 ]Find the mean marks of the students.

The marks obtained by 110 students in an examination are given below:[ Marks: 30 35 35 40 40 45 45 50 50 55 55 60 60 65 ]Frequency: 14 [ 16 28 23 18 8 3 ]Find the mean marks of the students.

Byju's Answer Standard X Mathematics

Direct Method of Finding Mean

The marks obt... Question

The marks obtained by 110 students in an examination are given below:

Marks: 30 – 35 35 – 40 40 – 45 45 – 50 50 – 55 55 – 60 60 – 65

Frequency: 14 16 28 23 18 8 3

Find the mean marks of the students.

Open in App Solution

Let the assumed mean, A be 47.5.

Here, h = 5

**Marks**

**Mid-Values(xi)**

**Frequency (fi)**

di=xi-47.5 ui=xi-47.55 fiui

30–35 32.5 14 −15 −3 −42

35–40 37.5 16 −10 −2 −32

40–45 42.5 28 −5 −1 −28

45–50 47.5 23 0 0 0

50–55 52.5 18 5 1 18

55–60 57.5 8 10 2 16

60–65 62.5 3 15 3 9 ∑fi=110 ∑fiui=-59 We know Mean =A+h×∑fiui∑fi

∴ Mean marks of the students

=47.5+5×-59110 =47.5-2.68 =44.82

Hence, the mean marks of the students is 44.82.

Suggest Corrections 43

SIMILAR QUESTIONS

**Q.**The marks in science of 80 students of class X are given below: Find the mode of the marks obtained by the students in science.

Marks: 0−10 10−20 20−30 30−40 40−50 50−60 60−70 70−80 80−90 90−100

Frequency: 3 5 16 12 13 20 5 4 1 1

**Q.**The marks in science of

80

students of class X are given below. Find the mode of the marks obtained by the students in science

C.I. 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100

Freq. 3 5 16 12 13 20 5 4 1 1

**Q.**Find the mean )arithmetic) of following frequency distribution :

Expenditure on water

(in Rs.) 15-20 20-25 25-30 30-35 35-40 40-45 45-50 50-55 55-60 60-65 65-70

No. of Houses 7 5 7 8 9 11 7 5 4 4 3

**Q.**The marks obtained by 12 students in an examination (out of

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Find the mean marks.

**Q.**Following are marks obtained in Mathematics by students of Class X.

Marks obtained 0-10 10-20 20-30 30-40 40-50 50-60 60-70

No. of students 2 10 12 15 13 8 4

Find the median of the marks obtained in Mathematics.

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Direct Method of Finding Mean

Standard X Mathematics

## The marks obtained by 110 students in an examination are given below Marks 30

The marks obtained by 110 students in an examination are given below Marks 30 3535 4040 4545 5050 5555 6060 65Frequency 141628231883 Find the mean marks of the students - Given:The marks obtained by 110 students in an examination.To do:We have to find the mean marks of the students.Solution:We know that,Mean $=frac{sum{f_ix_i}}{sum{f_i}}$ Therefore, Mean $=frac{4930}{110}$$=frac{493}{11}$$=44.81$The mean marks of the students 44.81 marks.

The marks obtained by 110 students in an examination are given below:**Marks:**30-35 35-40 40-45 45-50 50-55 55-60 60-65

**Frequency:**14 16 28 23 18 8 3

Find the mean marks of the students.

AcademicMathematicsNCERTClass 10

Given:

The marks obtained by 110 students in an examination.

To do:

We have to find the mean marks of the students.

Solution:

We know that, Mean = ∑ f i x i ∑ f i =∑fixi∑fi Therefore, Mean = 4930 110 =4930110 = 493 11 =49311 =44.81 =44.81

The mean marks of the students 44.81 marks.

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Guys, does anyone know the answer?